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Finding the Fourth Proportional to 836.74, 1,154.28 and 505.18

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Solution

The fourth proportional to 836.74, 1,154.28 and 505.18 is: 696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.74 : 1,154.28 = 505.18 : x
  2. Step 2: Convert to fraction form
    836.74/1,154.28 = 505.18/x
  3. Step 3: Cross multiply
    836.74x = 1,154.28 × 505.18
  4. Step 4: Simplify right side
    836.74x = 583,119.17
  5. Step 5: Solve for x
    x = 583,119.17/836.74
  6. Step 6: Final answer
    x = 696.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.